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Simplifying 5k + 3 + 4K + 6 = 0 Reorder the terms: 3 + 6 + 4K + 5k = 0 Combine like terms: 3 + 6 = 9 9 + 4K + 5k = 0 Solving 9 + 4K + 5k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 4K + -9 + 5k = 0 + -9 Reorder the terms: 9 + -9 + 4K + 5k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4K + 5k = 0 + -9 4K + 5k = 0 + -9 Combine like terms: 0 + -9 = -9 4K + 5k = -9 Add '-5k' to each side of the equation. 4K + 5k + -5k = -9 + -5k Combine like terms: 5k + -5k = 0 4K + 0 = -9 + -5k 4K = -9 + -5k Divide each side by '4'. K = -2.25 + -1.25k Simplifying K = -2.25 + -1.25k
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